Question
Factor the expression
Factor
(x−12)(x−4)
Evaluate
x2−16x+48
Rewrite the expression
x2+(−4−12)x+48
Calculate
x2−4x−12x+48
Rewrite the expression
x×x−x×4−12x+12×4
Factor out x from the expression
x(x−4)−12x+12×4
Factor out −12 from the expression
x(x−4)−12(x−4)
Solution
(x−12)(x−4)
Show Solution
Find the roots
Find the roots of the algebra expression
x1=4,x2=12
Evaluate
x2−16x+48
To find the roots of the expression,set the expression equal to 0
x2−16x+48=0
Factor the expression
More Steps
Evaluate
x2−16x+48
Rewrite the expression
x2+(−4−12)x+48
Calculate
x2−4x−12x+48
Rewrite the expression
x×x−x×4−12x+12×4
Factor out x from the expression
x(x−4)−12x+12×4
Factor out −12 from the expression
x(x−4)−12(x−4)
Factor out x−4 from the expression
(x−12)(x−4)
(x−12)(x−4)=0
When the product of factors equals 0,at least one factor is 0
x−12=0x−4=0
Solve the equation for x
More Steps
Evaluate
x−12=0
Move the constant to the right-hand side and change its sign
x=0+12
Removing 0 doesn't change the value,so remove it from the expression
x=12
x=12x−4=0
Solve the equation for x
More Steps
Evaluate
x−4=0
Move the constant to the right-hand side and change its sign
x=0+4
Removing 0 doesn't change the value,so remove it from the expression
x=4
x=12x=4
Solution
x1=4,x2=12
Show Solution